What is the Greatest Common Factor of 14523 and 14535?

Greatest common factor (GCF) of 14523 and 14535 is 3.

GCF(14523,14535) = 3

We will now calculate the prime factors of 14523 and 14535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14523 and 14535.

How to find the GCF of 14523 and 14535?

We will first find the prime factorization of 14523 and 14535. After we will calculate the factors of 14523 and 14535 and find the biggest common factor number .

Step-1: Prime Factorization of 14523

Prime factors of 14523 are 3, 47, 103. Prime factorization of 14523 in exponential form is:

14523 = 3¹ × 47¹ × 103¹

Step-2: Prime Factorization of 14535

Prime factors of 14535 are 3, 5, 17, 19. Prime factorization of 14535 in exponential form is:

14535 = 3² × 5¹ × 17¹ × 19¹

Step-3: Factors of 14523

List of positive integer factors of 14523 that divides 14523 without a remainder.

1, 3, 47, 103, 141, 309, 4841

Step-4: Factors of 14535

List of positive integer factors of 14535 that divides 14523 without a remainder.

1, 3, 5, 9, 15, 17, 19, 45, 51, 57, 85, 95, 153, 171, 255, 285, 323, 765, 855, 969, 1615, 2907, 4845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14523 and 14535. The biggest common factor number is the GCF number.
So the greatest common factor 14523 and 14535 is 3.

Also check out the Least Common Multiple of 14523 and 14535